RT,百度翻译看不懂
就时我这个蒟蒻看不懂今天CF2,3题题意,求翻译。
第二题:
Consider an array a of n positive integers.
You may perform the following operation:
select two indices l and r (1≤l≤r≤n), then
decrease all elements al,al+1,…,ar by 1.
Let's call f(a) the minimum number of operations needed to change array a into an array of n zeros.
Determine if for all permutations† b of a, f(a)≤f(b) is true.
† An array b is a permutation of an array a if b consists of the elements of a in arbitrary order. For example, [4,2,3,4] is a permutation of [3,2,4,4] while [1,2,2] is not a permutation of [1,2,3].
Input
The first line contains a single integer t (1≤t≤104) — the number of test cases.
The first line of each test case contains a single integer n (1≤n≤105) — the length of the array a.
The second line contains n integers a1,a2,…,an (1≤ai≤109) — description of the array a.
It is guaranteed that the sum of n over all test cases does not exceed 105.
Output
For each test case, print "YES" (without quotes) if for all permutations b of a, f(a)≤f(b) is true, and "NO" (without quotes) otherwise.
You can output "YES" and "NO" in any case (for example, strings "yEs", "yes" and "Yes" will be recognized as a positive response).
第三题:
A 0-indexed array a of size n is called good if for all valid indices i (0≤i≤n−1), ai+i is a perfect square†.
Given an integer n. Find a permutation‡ p of [0,1,2,…,n−1] that is good or determine that no such permutation exists.
† An integer x is said to be a perfect square if there exists an integer y such that x=y2.
‡ An array b is a permutation of an array a if b consists of the elements of a in arbitrary order. For example, [4,2,3,4] is a permutation of [3,2,4,4] while [1,2,2] is not a permutation of [1,2,3].
Input
The first line contains a single integer t (1≤t≤104) — the number of test cases.
The only line of each test case contains a single integer n (1≤n≤105) — the length of the permutation p.
It is guaranteed that the sum of n over all test cases does not exceed 105.
Output
For each test case, output n distinct integers p0,p1,…,pn−1 (0≤pi≤n−1) — the permutation p — if the answer exists, and −1 otherwise.